Solve for x 5^x=625

Problem

5=625

Solution

1. Identify the base of the exponential expression on the left side, which is 5

2. Rewrite the constant on the right side, 625 as a power of 5 by calculating 5⋅5⋅5⋅5

3. Express the equation using the same base on both sides.

5=5

4. Apply the property of equality for exponential functions, which states that if bx=by and b>0,b≠1 then x=y

x=4

Final Answer

x=4

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